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Iteratively solving a kind of signorinitransmission problem in a unbounded domain

Published online by Cambridge University Press:  15 August 2005

Qiya Hu  and
Dehao Yu
Qiya Hu
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics, Chinese Academy of Sciences, Beijing 100080, China. hqy@lsec.cc.ac.cn; ydh@lsec.cc.ac.cn 

Dehao Yu
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics, Chinese Academy of Sciences, Beijing 100080, China. hqy@lsec.cc.ac.cn; ydh@lsec.cc.ac.cn 

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Abstract

In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration is independent of the mesh size. Besides, a combination between this method and the steepest descent method is also discussed.

Keywords

Signorini contactFEM-BEM couplingvariational inequalityD-N alternationconvergence rate.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 4 , July 2005 , pp. 715 - 726
Copyright
© EDP Sciences, SMAI, 2005

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